English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

The use of parameters measuring order-parameter fluctuations (OPF) has beenencouraged by the recent results reported in \cite{RS} which show that two ofthese parameters, $G$ and $G_c$, take universal values in the $\lim_{T\to 0}$.In this paper we present a detailed study of parameters measuring OPF for twomean-field models with and without time-reversal symmetry which exhibitdifferent patterns of replica symmetry breaking below the transition: theSherrington-Kirkpatrick model with and without a field and the Ising p-spinglass (p=3). We give numerical results and analyze the consequences whichreplica equivalence imposes on these models in the infinite volume. We giveevidence for the transition in each system and discuss the character offinite-size effects. Furthermore, a comparative study between this new familyof parameters and the usual Binder cumulant analysis shows what kind of newinformation can be extracted from the finite $T$ behavior of these quantities.The two main outcomes of this work are: 1) Parameters measuring OPF give betterestimates than the Binder cumulant for $T_c$ and even for very small systemsthey give evidence for the transition. 2) For systems with no time-reversalsymmetry, parameters defined in terms of connected quantities are the properones to look at.Comment: 23 pages, REVTeX, 11 eps figure

Order-parameter fluctuations (OPF) in spin glasses: Monte Carlo simulations and exact results for small sizes